[Resource Topic] 2019/862: Key recovery attacks on the Legendre PRFs within the birthday bound

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Title:
Key recovery attacks on the Legendre PRFs within the birthday bound

Authors: Dmitry Khovratovich

Abstract:

We show that Legendre PRF, recently suggested as an MPC-friendly primitive in a prime field Z_p, admits key recovery attacks of complexity O(\sqrt{p}) rather than previously assumed O(p). We also demonstrate new attacks on high-degree versions of this PRF, improving on the previous results by Russell and Shparlinski.

ePrint: https://eprint.iacr.org/2019/862

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